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Finding the Fourth Proportional to 560.67, 774 and 430.26

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Solution

The fourth proportional to 560.67, 774 and 430.26 is: 593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.67 : 774 = 430.26 : x
  2. Step 2: Convert to fraction form
    560.67/774 = 430.26/x
  3. Step 3: Cross multiply
    560.67x = 774 × 430.26
  4. Step 4: Simplify right side
    560.67x = 333,021.24
  5. Step 5: Solve for x
    x = 333,021.24/560.67
  6. Step 6: Final answer
    x = 593.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.